//N=32 LENGTH=128
float coef128[] = {
-0.00454728408833986, 4.79303357883608E-05, 0.00480751200990985, 0.00959350045080182, 0.0142573186999811, 0.018643081125445, 0.0225912930263488, 0.02594287315125, 
0.0285434195177956, 0.0302476296685325, 0.0309237789801219, 0.0304581550944319, 0.0287593431528085, 0.025762255436984, 0.0214318003493193, 0.0157660894457007, 0.00879908745493652, 
0.00060261881061323, -0.00871234493979803, -0.0189951795780773, -0.0300559324993766, -0.0416665085299506, -0.0535627314417141, -0.0654472769220921, -0.0769934538639429, -0.0878497918642555, 
-0.0976453741796723, -0.105995837501466, -0.112509943194624, -0.11679660949036, -0.11847228089748, -0.117168500139318, -0.112539539519638, -0.104269943012879, -0.0920818277439881, 
-0.0757417939919736, -0.0550672964741857, -0.0299323364327041, -0.0002723438684302, 0.0339118679967166, 0.0725511785187986, 0.115506350332401, 0.162567399658768, 0.21345418929133, 
0.267818264415564, 0.325245927689483, 0.385262525944935, 0.447337896964065, 0.510892901537997, 0.575306943916297, 0.639926363276995, 0.704073560429721, 0.767056708011059, 
0.828179879295608, 0.886753420725846, 0.942104386592892, 0.993586851144206, 1.04059191384491, 1.08255721759478, 1.11897580734328, 1.14940416761626, 1.1734692917638, 
1.19087465298263, 1.20140496702177, 1.20492965855137, 1.20140496702177, 1.19087465298263, 1.1734692917638, 1.14940416761626, 1.11897580734328, 1.08255721759478, 
1.04059191384491, 0.993586851144206, 0.942104386592892, 0.886753420725846, 0.828179879295608, 0.767056708011059, 0.704073560429721, 0.639926363276995, 0.575306943916297, 
0.510892901537997, 0.447337896964065, 0.385262525944935, 0.325245927689483, 0.267818264415564, 0.21345418929133, 0.162567399658768, 0.115506350332401, 0.0725511785187986, 
0.0339118679967166, -0.0002723438684302, -0.0299323364327041, -0.0550672964741857, -0.0757417939919736, -0.0920818277439881, -0.104269943012879, -0.112539539519638, -0.117168500139318, 
-0.11847228089748, -0.11679660949036, -0.112509943194624, -0.105995837501466, -0.0976453741796723, -0.0878497918642555, -0.0769934538639429, -0.0654472769220921, -0.0535627314417141, 
-0.0416665085299506, -0.0300559324993766, -0.0189951795780773, -0.00871234493979803, 0.00060261881061323, 0.00879908745493652, 0.0157660894457007, 0.0214318003493193, 0.025762255436984, 
0.0287593431528085, 0.0304581550944319, 0.0309237789801219, 0.0302476296685325, 0.0285434195177956, 0.02594287315125, 0.0225912930263488, 0.018643081125445, 0.0142573186999811, 
0.00959350045080182, 0.00480751200990985, 4.79303357883608E-05};


//N=256 LENGTH=1024
float coef1024[]={-0.00454728408833986, -0.00398626960038537, -0.00342095202473743, -0.00285156580744825, -0.00227834915028411, -0.00170154394128152, -0.00112139568333044, -0.000538153420798405, 
4.79303357883608E-05, 0.000636599686992374, 0.00122759542362207, 0.00182065510778355, 0.002415513155806, 0.00301190092302354, 0.00360954679039273, 0.00420817625292436, 
0.00480751200990985, 0.00540727405691739, 0.00600717977953707, 0.00660694404884932, 0.00720627931859323, 0.00780489572400861, 0.00840250118232613, 0.00899880149487793, 
0.00959350045080182, 0.0101862999323103, 0.0107769000214951, 0.0113649991086375, 0.0119502940019943, 0.0125324800390275, 0.0131112511990459, 0.0136863002172265, 
0.0142573186999811, 0.014823997241636, 0.0153860255423879, 0.0159430925275024, 0.0164948864677183, 0.0170410951008209, 0.0175814057543482, 0.0181155054693902, 
0.018643081125445, 0.0191638195662912, 0.0196774077268367, 0.0201835327609058, 0.0206818821699211, 0.021172143932441, 0.0216540066345094, 0.0221271596007768, 
0.0225912930263488, 0.0230460981093187, 0.0234912671839409, 0.023926493854401, 0.024351473129136, 0.0247659015556626, 0.0251694773558644, 0.0255619005616954, 
0.02594287315125, 0.0263120991851559, 0.0266692849432402, 0.0270141390614226, 0.0273463726687879, 0.0276656995247879, 0.0279718361565269, 0.02826450199608, 
0.0285434195177956, 0.0288083143755332, 0.0290589155397871, 0.0292949554346454, 0.0295161700745353, 0.0297222992007037, 0.0299130864173836, 0.0300882793275954, 
0.0302476296685325, 0.03039089344648, 0.0305178310712173, 0.0306282074898517, 0.0307217923200331, 0.0307983599824987, 0.0308576898328967, 0.0308995662928376, 
0.0309237789801219, 0.0309301228380941, 0.0309183982640709, 0.0308884112367935, 0.0308399734428525, 0.030772902402035, 0.0306870215915434, 0.0305821605690349, 
0.0304581550944319, 0.0303148472504523, 0.0301520855618112, 0.029969725113042, 0.0297676276648897, 0.0295456617692252, 0.0293037028824327, 0.0290416334772206, 
0.0287593431528085, 0.0284567287434404, 0.0281336944251786, 0.0277901518209286, 0.0274260201036492, 0.0270412260977007, 0.0266357043782849, 0.0262093973689315, 
0.025762255436984, 0.0252942369870424, 0.0248053085523161, 0.0242954448838441, 0.023764629037539, 0.0232128524590114, 0.0226401150661325, 0.0220464253292934, 
0.0214318003493193, 0.0207962659329984, 0.0201398566661849, 0.0194626159844377, 0.0187645962411552, 0.0180458587731674, 0.0173064739637507, 0.0165465213030251, 
0.0157660894457007, 0.0149652762661362, 0.0141441889106766, 0.0133029438472348, 0.0124416669120851, 0.0115604933538367, 0.0106595678745537, 0.00973904466799436, 
0.00879908745493652, 0.00783986951556303, 0.00686157371887705, 0.00586439254912138, 0.00484852812917502, 0.00381419224090119, 0.00276160634242378, 0.00169100158230627, 
0.00060261881061323, -0.000503291413169671, -0.00162646881537624, -0.0027666434065819, -0.00392353548322466, -0.00509685563244424, -0.00628630474015605, -0.00749157400237361, 
-0.00871234493979803, -0.00994828941568412, -0.0111990696569994, -0.012464338278885, -0.0137437383124311, -0.0150369032357748, -0.0163434570085304, -0.0176630141095578, 
-0.0189951795780773, -0.0203395490581351, -0.0216957088464218, -0.023063235943452, -0.0244416981081004, -0.0258306539155007, -0.0272296528183043, -0.0286382352112977, 
-0.0300559324993766, -0.031482267168873, -0.0329167528622304, -0.03435889445602, -0.0358081881422944, -0.0372641215132654, -0.038726173649302, -0.0401938152102337, 
-0.0416665085299506, -0.0431437077142854, -0.0446248587421654, -0.0461093995700179, -0.0475967602394129, -0.049086362987928, -0.0505776223632132, -0.0520699453402407, 
-0.0535627314417141, -0.0550553728616197, -0.0565472545918935, -0.0580377545521823, -0.0595262437226717, -0.0610120862799561, -0.062494639735923, -0.0639732550796222, 
-0.0654472769220921, -0.0669160436441098, -0.068378887546836, -0.0698351350053196, -0.0712841066248293, -0.0727251173999766, -0.0741574768765946, -0.0755804893163344, 
-0.0769934538639429, -0.0783956647171805, -0.07978641129934, -0.0811649784343248, -0.0825306465242447, -0.0838826917294853, -0.0852203861512073, -0.0865429980162304, 
-0.0878497918642555, -0.0891400287373781, -0.0904129663718456, -0.0916678593920076, -0.0929039595064118, -0.0941205157059929, -0.0953167744643036, -0.0964919799397348, 
-0.0976453741796723, -0.0987761973265345, -0.099883687825638, -0.100967082634833, -0.102025617435853, -0.103058526847323, -0.104065044639364, -0.105044403949735, 
-0.105995837501466, -0.106918577821893, -0.10781185746307, -0.108674909223459, -0.109506966370875, -0.110307262866584, -0.111075033590516, -0.111809514567526, 
-0.112509943194624, -0.113175558469127, -0.113805601217647, -0.114399314325876, -0.114955942969065, -0.115474734843164, -0.115954940396534, -0.116395813062169, 
-0.11679660949036, -0.117156589781727, -0.117475017720559, -0.117751161008383, -0.117984291497692, -0.118173685425767, -0.118318623648519, -0.118418391874283, 
-0.11847228089748, -0.118479586832096, -0.118439611344888, -0.118351661888255, -0.118215051932696, -0.118029101198788, -0.117793135888609, -0.117506488916532, 
-0.117168500139318, -0.116778516585436, -0.116335892683543, -0.115839990490036, -0.115290179915624, -0.114685838950825, -0.114026353890336, -0.113311119556191, 
-0.112539539519638, -0.111711026321664, -0.110825001692093, -0.109880896767191, -0.108878152305697, -0.107816218903222, -0.10669455720493, -0.10551263811644, 
-0.104269943012879, -0.102965963946005, -0.101600203849351, -0.100172176741292, -0.0986814079259904, -0.0971274341921466, -0.0955098040094712, -0.0938280777228306, 
-0.0920818277439881, -0.090270638740877, -0.088394107824338, -0.0864518447322578, -0.0844434720110412, -0.082368625194355, -0.0802269529790783, -0.0780181173983957, 
-0.0757417939919736, -0.0733976719731552, -0.0709854543931146, -0.0685048583019092, -0.0659556149063731, -0.0633374697247877, -0.0606501827382788, -0.0578935285388764, 
-0.0550672964741857, -0.0521712907886125, -0.0492053307610868, -0.046169250839234, -0.0430629007699402, -0.0398861457262576, -0.0366388664306032, -0.0333209592741993, 
-0.0299323364327041, -0.0264729259779919, -0.0229426719860276, -0.0193415346407976, -0.015669490334248, -0.0119265317621869, -0.00811266801611089, -0.00422792467091286, 
-0.0002723438684302, 0.00375401560320358, 0.00785107823444131, 0.0120187517234799, 0.0162569269097212, 0.0205654777115771, 0.0249442610686478, 0.0293931168883056, 
0.0339118679967166, 0.0385003200943271, 0.0431582617158429, 0.0478854641947315, 0.0526816816322661, 0.0575466508711424, 0.0624800914736868, 0.0674817057046771, 
0.0725511785187986, 0.077688177552752, 0.0828923531220301, 0.0881633382223824, 0.0935007485359786, 0.0989041824422846, 0.104373221033667, 0.109907428135731, 
0.115506350332401, 0.121169516995761, 0.126896440320646, 0.132686615364001, 0.138539520089002, 0.144454615413956, 0.150431345265955, 0.156469136639316, 
0.162567399658768, 0.168725527647417, 0.174942897199462, 0.181218868257653, 0.187552784195508, 0.193943971904246, 0.20039174188445, 0.206895388342439, 
0.21345418929133, 0.220067406656784, 0.226734286387413, 0.233454058569831, 0.240225937548331, 0.247049122049166, 0.25392279530941, 0.260846125210375, 
0.267818264415564, 0.274838350513126, 0.281905506162787, 0.289018839247231, 0.296177443027895, 0.303380396305151, 0.310626763582834, 0.317915595237086, 
0.325245927689483, 0.332616783584394, 0.340027171970551, 0.347476088486775, 0.354962515551816, 0.362485422558281, 0.370043766070581, 0.377636490026874, 
0.385262525944935, 0.392920793131929, 0.400610198898014, 0.40832963877374, 0.416077996731182, 0.42385414540876, 0.431656946339687, 0.439485250183993, 
0.447337896964065, 0.455213716303646, 0.463111527670238, 0.471030140620839, 0.478968355050964, 0.486924961446879, 0.494898741140989, 0.502888466570316, 
0.510892901537997, 0.518910801477735, 0.526940913721149, 0.534981977767929, 0.543032725558754, 0.551091881750884, 0.55915816399636, 0.567230283222739, 
0.575306943916297, 0.583386844407617, 0.59146867715949, 0.599551129057055, 0.607632881700104, 0.615712611697467, 0.623788990963405, 0.631860687015935, 
0.639926363276995, 0.647984679374386, 0.656034291445395, 0.664073852442031, 0.672102012437776, 0.680117418935792, 0.688118717178468, 0.696104550458262, 
0.704073560429721, 0.712024387422605, 0.719955670756053, 0.727866049053657, 0.735754160559406, 0.743618643454387, 0.751458136174162, 0.759271277726742, 
0.767056708011059, 0.774813068135844, 0.782539000738858, 0.790233150306341, 0.797894163492623, 0.80552068943979, 0.81311138009734, 0.820664890541709, 
0.828179879295608, 0.835655008647066, 0.843088944968089, 0.850480359032849, 0.857827926335345, 0.865130327406344, 0.872386248129697, 0.879594380057742, 
0.886753420725846, 0.893862073965915, 0.900919050218851, 0.9079230668458, 0.914872848438175, 0.921767127126294, 0.928604642886613, 0.935384143847414, 
0.942104386592892, 0.948764136465554, 0.955362167866827, 0.961897264555806, 0.968368219946054, 0.974773837400367, 0.981112930523416, 0.987384323452202, 
0.993586851144206, 0.999719359663205, 1.00578070646261, 1.01176976066631, 1.01768540334686, 1.02352652780106, 1.02929203982268, 1.03498085797243, 
1.04059191384491, 1.04612415233269, 1.05157653188721, 1.05694802477657, 1.06223761734015, 1.06744431023984, 1.072567118708, 1.07760507279191, 
1.08255721759478, 1.08742261351314, 1.09220033647061, 1.09688947814792, 1.10148914620923, 1.10599846452454, 1.1104165733882, 1.11474262973353, 
1.11897580734328, 1.12311529705612, 1.12716030696891, 1.13111006263479, 1.13496380725701, 1.1387208018784, 1.1423803255665, 1.14594167559426, 
1.14940416761626, 1.15276713584035, 1.15602993319479, 1.15919193149069, 1.16225252157979, 1.16521111350757, 1.16806713666149, 1.17082003991453, 
1.1734692917638, 1.17601438046429, 1.17845481415769, 1.18079012099623, 1.18301984926155, 1.18514356747845, 1.18716086452371, 1.18907134972964, 
1.19087465298263, 1.19257042481649, 1.19415833650056, 1.1956380801227, 1.19700936866696, 1.19827193608603, 1.1994255373684, 1.2004699486002, 
1.20140496702177, 1.20223041107885, 1.20294612046843, 1.20355195617922, 1.20404780052684, 1.20443355718347, 1.20470915120221, 1.20487452903605, 
1.20492965855137, 1.20487452903605, 1.20470915120221, 1.20443355718347, 1.20404780052684, 1.20355195617922, 1.20294612046843, 1.20223041107885, 
1.20140496702177, 1.2004699486002, 1.1994255373684, 1.19827193608603, 1.19700936866696, 1.1956380801227, 1.19415833650056, 1.19257042481649, 
1.19087465298263, 1.18907134972964, 1.18716086452371, 1.18514356747845, 1.18301984926155, 1.18079012099623, 1.17845481415769, 1.17601438046429, 
1.1734692917638, 1.17082003991453, 1.16806713666149, 1.16521111350757, 1.16225252157979, 1.15919193149069, 1.15602993319479, 1.15276713584035, 
1.14940416761626, 1.14594167559426, 1.1423803255665, 1.1387208018784, 1.13496380725701, 1.13111006263479, 1.12716030696891, 1.12311529705612, 
1.11897580734328, 1.11474262973353, 1.1104165733882, 1.10599846452454, 1.10148914620923, 1.09688947814792, 1.09220033647061, 1.08742261351314, 
1.08255721759478, 1.07760507279191, 1.072567118708, 1.06744431023984, 1.06223761734015, 1.05694802477657, 1.05157653188721, 1.04612415233269, 
1.04059191384491, 1.03498085797243, 1.02929203982268, 1.02352652780106, 1.01768540334686, 1.01176976066631, 1.00578070646261, 0.999719359663205, 
0.993586851144206, 0.987384323452202, 0.981112930523416, 0.974773837400367, 0.968368219946054, 0.961897264555806, 0.955362167866827, 0.948764136465554, 
0.942104386592892, 0.935384143847414, 0.928604642886613, 0.921767127126294, 0.914872848438175, 0.9079230668458, 0.900919050218851, 0.893862073965915, 
0.886753420725846, 0.879594380057742, 0.872386248129697, 0.865130327406344, 0.857827926335345, 0.850480359032849, 0.843088944968089, 0.835655008647066, 
0.828179879295608, 0.820664890541709, 0.81311138009734, 0.80552068943979, 0.797894163492623, 0.790233150306341, 0.782539000738858, 0.774813068135844, 
0.767056708011059, 0.759271277726742, 0.751458136174162, 0.743618643454387, 0.735754160559406, 0.727866049053657, 0.719955670756053, 0.712024387422605, 
0.704073560429721, 0.696104550458262, 0.688118717178468, 0.680117418935792, 0.672102012437776, 0.664073852442031, 0.656034291445395, 0.647984679374386, 
0.639926363276995, 0.631860687015935, 0.623788990963405, 0.615712611697467, 0.607632881700104, 0.599551129057055, 0.59146867715949, 0.583386844407617, 
0.575306943916297, 0.567230283222739, 0.55915816399636, 0.551091881750884, 0.543032725558754, 0.534981977767929, 0.526940913721149, 0.518910801477735, 
0.510892901537997, 0.502888466570316, 0.494898741140989, 0.486924961446879, 0.478968355050964, 0.471030140620839, 0.463111527670238, 0.455213716303646, 
0.447337896964065, 0.439485250183993, 0.431656946339687, 0.42385414540876, 0.416077996731182, 0.40832963877374, 0.400610198898014, 0.392920793131929, 
0.385262525944935, 0.377636490026874, 0.370043766070581, 0.362485422558281, 0.354962515551816, 0.347476088486775, 0.340027171970551, 0.332616783584394, 
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